Information on Result #1310763
Linear OA(5115, 4194, F5, 26) (dual of [4194, 4079, 27]-code), using 1055 step Varšamov–Edel lengthening with (ri) = (3, 0, 1, 0, 0, 1, 6 times 0, 1, 12 times 0, 1, 23 times 0, 1, 39 times 0, 1, 64 times 0, 1, 99 times 0, 1, 141 times 0, 1, 184 times 0, 1, 222 times 0, 1, 250 times 0) based on linear OA(5101, 3125, F5, 26) (dual of [3125, 3024, 27]-code), using
- an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(5115, 4194, F5, 2, 26) (dual of [(4194, 2), 8273, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5115, 4194, F5, 3, 26) (dual of [(4194, 3), 12467, 27]-NRT-code) | [i] | ||
| 3 | Digital (89, 115, 4194)-net over F5 | [i] | ||
| 4 | Linear OOA(5115, 2097, F5, 2, 26) (dual of [(2097, 2), 4079, 27]-NRT-code) | [i] | OOA Folding | |